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Finding the Fourth Proportional to 3,459.51, 5,189.33 and 862.46

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Solution

The fourth proportional to 3,459.51, 5,189.33 and 862.46 is: 1,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.51 : 5,189.33 = 862.46 : x
  2. Step 2: Convert to fraction form
    3,459.51/5,189.33 = 862.46/x
  3. Step 3: Cross multiply
    3,459.51x = 5,189.33 × 862.46
  4. Step 4: Simplify right side
    3,459.51x = 4,475,559.29
  5. Step 5: Solve for x
    x = 4,475,559.29/3,459.51
  6. Step 6: Final answer
    x = 1,293.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.